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14485440 = 263579191
BaseRepresentation
bin110111010000…
…011111000000
31000020221021210
4313100133000
512202013230
61234250120
7234060414
oct67203700
930227253
1014485440
1181a4142
124a26940
133002388
141cd0d44
151411eb0
hexdd07c0

14485440 has 112 divisors (see below), whose sum is σ = 46817280. Its totient is φ = 3793920.

The previous prime is 14485417. The next prime is 14485459. The reversal of 14485440 is 4458441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14485398 and 14485407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75745 + ... + 75935.

Almost surely, 214485440 is an apocalyptic number.

14485440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

14485440 is an abundant number, since it is smaller than the sum of its proper divisors (32331840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14485440 is a wasteful number, since it uses less digits than its factorization.

14485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 14485440 is about 3805.9742510952. The cubic root of 14485440 is about 243.7683010585.

The spelling of 14485440 in words is "fourteen million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 191 192 237 240 316 320 382 395 474 480 573 632 764 790 948 955 960 1146 1185 1264 1528 1580 1896 1910 2292 2370 2528 2865 3056 3160 3792 3820 4584 4740 5056 5730 6112 6320 7584 7640 9168 9480 11460 12224 12640 15089 15168 15280 18336 18960 22920 25280 30178 30560 36672 37920 45267 45840 60356 61120 75445 75840 90534 91680 120712 150890 181068 183360 226335 241424 301780 362136 452670 482848 603560 724272 905340 965696 1207120 1448544 1810680 2414240 2897088 3621360 4828480 7242720 14485440